(3w-7)(5w-8)=0

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Solution for (3w-7)(5w-8)=0 equation: 


Simplifying
(3w + -7)(5w + -8) = 0

Reorder the terms:
(-7 + 3w)(5w + -8) = 0

Reorder the terms:
(-7 + 3w)(-8 + 5w) = 0

Multiply (-7 + 3w) * (-8 + 5w)
(-7(-8 + 5w) + 3w * (-8 + 5w)) = 0
((-8 * -7 + 5w * -7) + 3w * (-8 + 5w)) = 0
((56 + -35w) + 3w * (-8 + 5w)) = 0
(56 + -35w + (-8 * 3w + 5w * 3w)) = 0
(56 + -35w + (-24w + 15w2)) = 0

Combine like terms: -35w + -24w = -59w
(56 + -59w + 15w2) = 0

Solving
56 + -59w + 15w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + -5w)(7 + -3w) = 0


Subproblem 1
Set the factor '(8 + -5w)' equal to zero and attempt to solve:

Simplifying
8 + -5w = 0

Solving
8 + -5w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -5w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5w = 0 + -8
-5w = 0 + -8

Combine like terms: 0 + -8 = -8
-5w = -8

Divide each side by '-5'.
w = 1.6

Simplifying
w = 1.6

Subproblem 2
Set the factor '(7 + -3w)' equal to zero and attempt to solve:

Simplifying
7 + -3w = 0

Solving
7 + -3w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -3w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3w = 0 + -7
-3w = 0 + -7

Combine like terms: 0 + -7 = -7
-3w = -7

Divide each side by '-3'.
w = 2.333333333

Simplifying
w = 2.333333333
Solution
w = {1.6, 2.333333333}

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